Maximality properties in numerical semigroups and applications to one-dimensional analytically irreducible local domains / Valentina Barucci, David E. Dobbs, Marco Fontana.

Format:

Book

Author/Creator:

Barucci, Valentina, 1950- author.

Dobbs, David E., author.

Fontana, Marco, 1947- author.

Series:

Memoirs of the American Mathematical Society ; Volume 125, Number 598.

Memoirs of the American Mathematical Society, 0065-9266 ; Volume 125, Number 598

Language:

English

Subjects (All):

Noetherian rings.

Semigroups.

Ideals (Algebra).

Physical Description:

1 online resource (95 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 1997.

Language Note:

English

Summary:

Intended for research mathematicians, this work covers maximality properties in numerical semigroups and applications to one-dimensional analytically irreducible local domains.

Contents:

""Contents""; ""Abstract""; ""Introduction""; ""Chapter I. Maximality Properties in Numerical Semigroups""; ""1. Symmetric semigroups and pseudo-symmetric semigroups""; ""2. The Lipman semigroup of an ideal and semigroups of maximal embedding dimension""; ""3. Arf semigroups""; ""4. Symmetric or pseudo-symmetric Arf semigroups""; ""5. Propinquity of symmetric Arf semigroups""; ""6. Arf semigroups and degree of singularity""; ""Chapter II. Maximality Properties in One-Dimensional Analytically Irreducible Local Domains""; ""1. Gorenstein domains and Kunz domains""

""2. Domains with maximal embedding dimension and Arf domains""""3. Arf Gorenstein domains and Arf Kunz domains""; ""4. Gorenstein overrings of a Gorenstein domain""; ""5. One-dimensional analytically irreducible local Arf domains and degree of singularity""; ""References""

Notes:

"January 1997, Volume 125, Number 598 (fourth of 5 numbers)."

Includes bibliographical references.

Description based on print version record.

ISBN:

1-4704-0183-5